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Finding the Fourth Proportional to 537,465.60, 806,198.40 and 195,934.65

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Solution

The fourth proportional to 537,465.60, 806,198.40 and 195,934.65 is: 293,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,465.60 : 806,198.40 = 195,934.65 : x
  2. Step 2: Convert to fraction form
    537,465.60/806,198.40 = 195,934.65/x
  3. Step 3: Cross multiply
    537,465.60x = 806,198.40 × 195,934.65
  4. Step 4: Simplify right side
    537,465.60x = 157,962,201,334.56
  5. Step 5: Solve for x
    x = 157,962,201,334.56/537,465.60
  6. Step 6: Final answer
    x = 293,901.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.